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Finding the Third Proportional to 231,968 and 355,440

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Solution

The third proportional to 231,968 and 355,440 is: 544,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,968 : 355,440 = 355,440 : x
  2. Step 2: Convert to fraction form
    231,968/355,440 = 355,440/x
  3. Step 3: Cross multiply
    231,968x = 355,440 × 355,440
  4. Step 4: Simplify right side
    231,968x = 126,337,593,600
  5. Step 5: Solve for x
    x = 126,337,593,600/231,968
  6. Step 6: Final answer
    x = 544,633.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.